Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Fitting | M16×C593 ⋊ C2 |
| Sylow | C593 ⋊ #104 |
44 conjugacy classes of subgroups.
| transitive degree | μt(G) = 4744 |
Polycyclic presentation:
2^5,593|a^2=d,c^2=e,d^2=e,b^a=bc,c^a=ce,c^b=ce,f^b=f^5922974 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #104×D593, C2×#34039211, #49182730, … |
| maximal normal subgroup of | #104×D593, C2×#34039211, #49182730, … |
| maximal quotient of | #49182442, #49182445, #49182450, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 72);